Handyman or plumber recommendation?

I'm looking to get a dishwasher installed in my kitchen but it currently doesn't have the plumbing for a dishwasher or a gap in the kitchen cupboards. There's an existing damaged cupboard, which I've measured and it will fit the dishwasher if the internal structure is cut out.

I'd rather only deal with the one tradesperson, but I'm not sure whether I should be looking for a plumber who can also do the (pretty basic) carpentry required, or a handyman who can do the plumbing (which should also be pretty simple, as the existing sink drain is right next to it). Any recommendations?